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Finding the Fourth Proportional to 336, 464.48 and 305.64

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Solution

The fourth proportional to 336, 464.48 and 305.64 is: 422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    336 : 464.48 = 305.64 : x
  2. Step 2: Convert to fraction form
    336/464.48 = 305.64/x
  3. Step 3: Cross multiply
    336x = 464.48 × 305.64
  4. Step 4: Simplify right side
    336x = 141,963.67
  5. Step 5: Solve for x
    x = 141,963.67/336
  6. Step 6: Final answer
    x = 422.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.